Hiroshima University Syllabus

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Academic Year 2024Year School/Graduate School Liberal Arts Education Program
Lecture Code 68141007 Subject Classification Foundation Courses
Subject Name 微分積分学II[1工四]
Subject Name
Subject Name in
シマ タダシ
Campus Higashi-Hiroshima Semester/Term 1st-Year,  Second Semester,  3Term
Days, Periods, and Classrooms (3T) Weds1-4:IAS K211
Lesson Style Lecture Lesson Style
(More Details)
Lecture-oriented class 
Credits 2.0 Class Hours/Week   Language of Instruction J : Japanese
Course Level 1 : Undergraduate Introductory
Course Area(Area) 25 : Science and Technology
Course Area(Discipline) 01 : Mathematics/Statistics
Eligible Students
Special Subject for Teacher Education   Special Subject  
Class Status within
Liberal Arts Education
As pre-specialized education, which is organically linked to specialized education, Foundation Courses are aimed at providing students with the basic knowledge necessary to understand specialized studies in their chosen areas, and thereby providing them w 
Expected OutcomeTo understand, acquire, and be able to explain the logical structure and system of the basic disciplines in accordance with each subject and the knowledge and skills necessary for further academic development. 
Class Objectives
/Class Outline
The aim of classes is to acquire basic knowledge and skills about the calculus together with "Calculus I". 
Class Schedule [An Example of Class Schedule]
lesson1: Functions of Several Variables
lesson2: Partial Differential Coefficients and Partial Derivatives
lesson3: Total Differentiability and Total Differentials
lesson4: Derivatives and Partial Derivatives of Composite Functions
lesson5: Taylor expansion of a Function of Several Variables
lesson6: Application of Partial Derivative (1)
lesson7: Application of Partial Derivative (2)
lesson8: Definition of the Multiple Integral
lesson9: Relation between the Iterated Integral and the Multiple Integral
lesson10: Change of Variables of a Multiple Integral
lesson11: Calculation of Multiple Integral (1)
lesson12: Calculation of Multiple Integral (2)
lesson13: Application of Multiple integral (1)
lesson14: Application of Multiple integral (2)
lesson15: Summary 
Textbook will be specified at the time of the first class. 
PC or AV used in
(More Details) Textbook, handouts, and/or screen. 
Learning techniques to be incorporated  
Suggestions on
Preparation and
Prepare and review as needed. 
Requirements The knowledge of "Calculus I" is premised. 
Grading Method The grade will be based on final examination, midterm examination, and/or assignments. 
Practical Experience  
Summary of Practical Experience and Class Contents based on it  
Other 【In case the number of registered students exceed 250, a computerized random selection will be carried out.】 
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. 
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